A sum of Rs. 1360 has been divided among A, B and C such that A gets $ \dfrac{2}{3} $ of what B gets and B gets $ \dfrac{1}{4} $ of what C gets. Bs share is:

Rs. 120

Rs. 160

Rs. 240

Rs. 300

Explanation:

Let Cs share = Rs. $ x $

Then, Bs share = Rs.$ \dfrac{x}{4} $, As share = Rs. $\left(\dfrac{2}{3}\times\dfrac{x}{4}\right)$=Rs.$\dfrac{x}{6}$

$\therefore \dfrac{x}{6} $+$ \dfrac{x}{4} $+ $ x $ = 1360

$\Rightarrow \dfrac{17x}{12} $= 1360

$\Rightarrow x $ =$ \dfrac{1360 \times 12}{17} $= Rs. 960

Hence, Bs share = Rs.$ \left(\dfrac{960}{4} \right) $= Rs. 240.